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Cake-maker, say, drinking one more bitter (5)

Ross

I believe the answer is:

icier

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'bitter' is the definition.
Both the answer and definition are comparative adjectives. Perhaps you can see a link between them that I don't see?

I cannot understand how the remainder of the clue works.

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(Other definitions for icier that I've seen before include "increasingly frigid" , "More chilly" , "with more reserve" , "Even more frozen" , "much less friendly" .)

I've seen this clue in The Guardian.
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